Advanced Fluid Mechanics Principles
( 24 Modules )

Module #1
Introduction to Advanced Fluid Mechanics
Overview of the course, review of fundamental concepts, and importance of advanced fluid mechanics in engineering applications

Module #2
Mathematical Preliminaries
Review of vector calculus, tensor analysis, and differential equations

Module #3
Kinematics of Fluid Motion
Description of fluid motion, streamlines, and pathlines

Module #4
Dynamics of Fluid Motion
Equations of motion, vorticity, and circulation

Module #5
Navier-Stokes Equations
Derivation and analysis of the Navier-Stokes equations

Module #6
Boundary Layer Theory
Laminar and turbulent boundary layers, boundary layer equations

Module #7
Turbulence Modeling
Introduction to turbulence, Reynolds number, and turbulence models

Module #8
Compressible Flow
Equations of state, speed of sound, and compressible flow regimes

Module #9
Shock Waves and Expansion Fans
Normal and oblique shock waves, Prandtl-Meyer expansion fans

Module #10
Nozzle Flow
Isothermal and adiabatic nozzle flow, nozzle design

Module #11
Open Channel Flow
Hydraulic jumps, gradually varied flow, and channel design

Module #12
Pipe Flow
Laminar and turbulent pipe flow, pipe networks, and pipe design

Module #13
Pumps and Turbines
Pump and turbine design, performance characteristics, and selection

Module #14
Fluid Instability and Transition
Criteria for instability, transition to turbulence, and flow control

Module #15
Computational Fluid Dynamics (CFD)
Introduction to CFD, numerical methods, and applications

Module #16
CFD for Incompressible Flows
Finite element and finite volume methods for incompressible flows

Module #17
CFD for Compressible Flows
Finite difference and finite volume methods for compressible flows

Module #18
Fluid-Structure Interaction
Coupled fluid-structure problems, FSI algorithms, and applications

Module #19
Microfluidics and Nanofluidics
Scaling laws, micro- and nanoscale fluid behavior, and applications

Module #20
Multiphase Flows
Bubbly, slug, and annular flows, interfacial phenomena, and applications

Module #21
Non-Newtonian Flows
Rheology, non-Newtonian fluid behavior, and applications

Module #22
Biofluid Mechanics
Physiological flows, blood flow, and respiratory flow mechanics

Module #23
Environmental Fluid Mechanics
Water resources, wastewater treatment, and environmental fluid flow problems

Module #24
Course Wrap-Up & Conclusion
Planning next steps in Advanced Fluid Mechanics Principles career

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Advanced Fluid Mechanics Principles ( 24 Modules )

Advanced Fluid Mechanics Principles
( 24 Modules )